Answer:
-19n^4 - 8m^2 - 12m^4n
Step-by-step explanation:
8m^2 + 12m^4n + 9mn
-
19n^4 9mn
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-19n^4 - 8m^2 - 12m^4n
QUESTION 1
The given logarithmic expression is
We rewrite 
in the index form to base 4.
This implies that;
We now apply the power rule: 
.
Recall that logarithm of the base is 1.
QUESTION 2
The given logarithm is;
![\log_2(\sqrt[5]{32})](https://tex.z-dn.net/?f=%5Clog_2%28%5Csqrt%5B5%5D%7B32%7D%29)
![\log_2(\sqrt[5]{2^5})](https://tex.z-dn.net/?f=%5Clog_2%28%5Csqrt%5B5%5D%7B2%5E5%7D%29)
This is the same as;
Answer:
y= 2x - 5 equation has a slope of 2 and a y intercept of -5
Step-by-step explanation:
Given:
The slope = 2
Intercept of y = -5
To Find:
The equation of the line = ?
Solution:
The slope-intercept form of a line is a way of writing the equation of a line so that the slope of the line and the y-intercept are easily identifiable. The slope is the steepness of the line, and the y-intercept is the place the line crosses the y-axis.
The equation of the line in the slope intercept form is
y = mx+b
where
m is the slope
b is the y intercept
Now substituting the given values we get
y = (2)x + (-5)
y= 2x - 5
Answer:
anything less than 133 would be true
Step-by-step explanation:
35 ≥ 0.15m + 15
solve for m
subtract 15 from both sides
20 ≥ 0.15m
divide both sides by 0.15
133.33 ≥ m
m cannot be more than 133 minutes
Answer:
f[g(x)] = 4x²+1/16
Step-by-step explanation:
We need to put g(x) into f(x).
f[g(x)] = 1/(1/2x+4)²
f[g(x)] = 1/(1/4x²+16) Solve the exponential.
f[g(x)] = 1/(1/4x²+16) Simply the fraction.
f[g(x)] = 4x²+1/16
